Local vanishing properties of solutions of elliptic and parabolic quasilinear equations
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- by J. Ildefonso Díaz and Laurent Véron PDF
- Trans. Amer. Math. Soc. 290 (1985), 787-814 Request permission
Abstract:
We use a local energy method to study the vanishing property of the weak solutions of the elliptic equation $- \operatorname {div}\;A(x,u,Du) + B(x,u,Du) = 0$ and of the parabolic equation $\partial \psi (u)/\partial t - \operatorname {div}\;\mathcal {A}(t,x,u,Du) + \mathcal {B}(t,x,u,Du) = 0$. The results are obtained without any assumption of monotonicity on $A$, $B$, $\mathcal {A}$ and $\mathcal {B}$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 290 (1985), 787-814
- MSC: Primary 35B05; Secondary 35J60, 35K55
- DOI: https://doi.org/10.1090/S0002-9947-1985-0792828-X
- MathSciNet review: 792828